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11152424460 = 2235238990803
BaseRepresentation
bin10100110001011110…
…00111111000001100
31001210020020212021210
422120233013320030
5140320010040320
65042351054420
7543240021012
oct123057077014
931706225253
1011152424460
114803286621
1221b2b11410
131089694c38
1477b22a8b2
1545414c0e0
hex298bc7e0c

11152424460 has 96 divisors (see below), whose sum is σ = 32950955520. Its totient is φ = 2812682752.

The previous prime is 11152424447. The next prime is 11152424461. The reversal of 11152424460 is 6442425111.

11152424460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11152424461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77419 + ... + 168221.

It is an arithmetic number, because the mean of its divisors is an integer number (343239120).

Almost surely, 211152424460 is an apocalyptic number.

11152424460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152424460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475477760).

11152424460 is an abundant number, since it is smaller than the sum of its proper divisors (21798531060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11152424460 is a wasteful number, since it uses less digits than its factorization.

11152424460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90927 (or 90925 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11152424460 its reverse (6442425111), we get a palindrome (17594849571).

The spelling of 11152424460 in words is "eleven billion, one hundred fifty-two million, four hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 345 356 445 460 534 690 890 1068 1335 1380 1780 2047 2670 4094 5340 6141 8188 10235 12282 20470 24564 30705 40940 61410 90803 122820 181606 272409 363212 454015 544818 908030 1089636 1362045 1816060 2088469 2724090 4176938 5448180 6265407 8081467 8353876 10442345 12530814 16162934 20884690 24244401 25061628 31327035 32325868 40407335 41769380 48488802 62654070 80814670 96977604 121222005 125308140 161629340 185873741 242444010 371747482 484888020 557621223 743494964 929368705 1115242446 1858737410 2230484892 2788106115 3717474820 5576212230 11152424460